A numerical calculation of the penetration factor and its application

In this study, we develop a computer code called Numerical Calculation of the Penetration Factor (NCPF) for calculation of the penetration factor in nuclear interactions. The code is valid in both low-energy thermonuclear reactions for astrophysical applications and high-energy interactions of heavy nuclei. Our validation results indicate that this code can be successfully used to determine the penetrability for calculations of the partial widths of thermonuclear reactions and the half-lives of heavy isotopes. By using the code, we evaluate the astrophysical rates of the ²²Mg(α, p)²⁵Al reaction and the α-decay half-lives of super-heavy nuclei with atomic numbers up to Z = 118.